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Mathematics 21 Online
OpenStudy (anonymous):

A family of 5 comes to the amusement park. There are two adults and three children (under the age of 12). They qualify for a special family rate of $174.45. The clerk tells them that a child's ticket always costs $11 less than an adult's ticket. How much is each adult ticket and how much is each child's ticket?

OpenStudy (pfenn1):

If x = adult ticket price and y = child's ticket price then we know:\[2x+3y=174.45\]

OpenStudy (pfenn1):

We also know that\[y=x-11\]

OpenStudy (pfenn1):

The first equation comes from "two adults and three children ......qualify for a special family rate of $174.45". The second equation comes from "a child's ticket always costs $11 less than an adult's ticket".

OpenStudy (pfenn1):

Do you know how to solve this?

OpenStudy (anonymous):

i think

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